Question:
Two persons A and B started a partnership business by investing capital in the ratio of \(5:3\). After 6 months C joins them by investing capital equal to that of A. At the end of the year the ratio of the profits to be shared by them is:
Two persons A and B started a partnership business by investing capital in the ratio of \(5:3\). After 6 months C joins them by investing capital equal to that of A. At the end of the year the ratio of the profits to be shared by them is:
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If someone joins later, reduce the investment period accordingly before calculating the profit ratio.
Updated On: Jun 12, 2026
- \(5:3:1\)
- \(10:3:2\)
- \(10:5:3\)
- \(10:6:5\)
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The Correct Option is D
Solution and Explanation
Step 1: Assume capitals according to the given ratio. Let \[ A=5x,\qquad B=3x \] Both invest for 12 months. \[ A=5x\times12=60x \] \[ B=3x\times12=36x \]
Step 2: Calculate C's capital-time product. C joins after 6 months and invests equal to A. \[ C=5x \] Investment duration: \[ 6 \text{ months} \] Thus, \[ 5x\times6=30x \]
Step 3: Find profit ratio. \[ 60x:36x:30x \] \[ =10:6:5 \] Hence, \[ \boxed{10:6:5} \]
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